The point slope form are as follows:
y - 2 = 4 / 3(x - 5)y + 6 = 4 / 3(x + 1)How to represent equation in point slope form?The point slope equation can be represented as follows;
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore, (5, 2)(-1, -6)
m = slope = -6 - 2 / -1 - 5
m = slope = -8 / - 6
m = slope = 4 / 3
Therefore, using (5, 2) the point slope form is represented as follows;
y - 2 = 4 / 3(x - 5)
using (-1, -6) the point slope form is represented as follows;
y + 6 = 4 / 3(x + 1)
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Solve for c.
P=a+5+c
Answer:
c = P - a - b
Step-by-step explanation:
We are basically trying to get "c" by itself. If we ask ourselves what is with the "c" that we need to get rid of in order to have "c" by itself, we have a positive "a" and a "plus 5". To get rid of the positive "a" we subtract "a" from both sides. That leaves
P - a = 5 + c
To get rid of the "plus 5" we subtract 5 from both sides. That leaves
P - a - 5 = c
7 less than the product of 2 and a number.
Answer: 2x-7
Step-by-step explanation:hope it helps, brainliest? i could really use it
D=33+31g. Determine the distance the car can travel using 4 gallons
Answer:
The distance d (in miles) you travel in a car is given by d=55t where t is the time (in hours)
The distance d (in miles) you travel in a car is given by d=20g where g is the number of gallons of gasoline the car uses.
1. Write an equation that relates g & t.
2. Solving for g.
=>
Hence,
3. You travel for six hours. How many gallons of gasoline does the car use
We will use this equation to solve the question.
Putting t = 6
g = 16.5 gallons
4. How far do you travel?
We can use equation here
miles
Step-by-step explanation:
this is what you wanted right?
2x+5-19 division property of equality
Answer:
Step-by-step explanation:
it is the steps to get to that certain step
some of the steps are out of order
I'm going to assign letters
the order is
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7
A: given
B: we subtracted 5 from both sides so subtraction property of equality
C: subtract
D: divison property of equality (we divide both side by 2)
E: divide
Please help !! Maurice walks 262 miles due south, then 168 miles due west and finally 422 miles due north. How
far is Maurice from his starting point?
miles
Maurice is a distance of 232 miles away from his starting point.
What is the final distance of Maurice from his starting point by using vectors and Pythagorean theorem?
Let suppose the existence of a coordinate system whose orthogonal axes are represented by north and east directions, which means that both north and east directions have positive signs. Then, the vector position of Maurice relative to his starting point is:
r = ∑ Δx i + ∑ Δy j
Where:
Δx - Net change in the east direction.Δy - Net change in the north direction.Then, the vector position of Maurice relative to his starting point is:
r = (- 168) i + (- 262 + 422) j
r = - 168 i + 160 j
And the distance is found by using the Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
r = √[(- 168)² + 160²]
r = 232
Maurice is a distance of 232 miles away from his starting point.
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Patty and Carol cach go for walks around a lake a few times per week. Last week, Patty walked7 miles more
"than Carol.
a. If e represents the number of miles Carol walked, write an equation that represents the total number of
miles T the two girls walked. (You may only use the variables c and T in your equation.)
b. If Carol walked 9 miles during the week, how many miles did Patty walk?
c. If Carol walked 11 miles during the week, how many miles did the two girls walk together?
Porfavor me urge :,3
(a) let number of miles Carol walked be e.
Patty walked 7 miles more than Carol.
Patty walked e + 7 miles.
Let total number of miles walked be T
that is how many miles Carol walked plus how many miles Patty walked
T = e + (e + 7)
(b) :Let number of miles patty walked be p.
p = e + 7
e = 9
P = 9 +7
P = 16
(c) T = e + (e + 7)
T = 11 + (11+7)
T = 11+18
T=29
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth multiplier (i.e. common ratio) was around 2.0. In 1983, about 1800 people in the U.S. died of AIDS. We can use the exponential model:
P
n
=
1800
(
2.0
n
)
.
If the trend had continued unchecked, how many people would have died from AIDS in 2004?
If the trend had continued unchecked, 3,774,873,600 people would have died from AIDS in 2004
How many people would have died from AIDS in 2004?The equation of the function is given as
P(n) = 1800(2.0)^n
Where n represents the number of years since 1983
There are 21 years from 1983 to 2004
This is calculated as
n = 2004 - 1983
n = 21
Substitute 21 for n in the equation P(n) = 1800(2.0)^n
So, we have
P(21) = 1800(2.0)^21
Evaluate
P(21) = 3774873600
Hence, if the trend had continued unchecked, 3,774,873,600 people would have died from AIDS in 2004
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Water comes out of a pipe at a rate of 16 gallons per minute.
How many gallons have come out after 4 minutes?
Answer:64
Step-by-step explanation:16 × 4
Simplify the expression (3-4i) (6i+7) - ( 2-3i). Show your work and explain your steps You may not need every line below and you can add more lines if you do need them.
The value of the complex number expression (3 - 4i) (6i +7) - (2 - 3i) is 43 - 7i
How to simplify the complex number expression?The complex number expression is given as
(3 - 4i) (6i +7) - (2 - 3i)
Expand the bracket in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = (18i + 21 -24(-1) - 28i) - (2 - 3i)
Evaluate the like terms in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = (45 -10i) - (2 - 3i)
Remove the bracket in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = 45 -10i - 2 + 3i
Evaluate the like terms in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = 43 - 7i
Hence, the value of the complex number expression (3 - 4i) (6i +7) - (2 - 3i) is 43 - 7i
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Special Angle Pairs
Find m<1
Please help !
Special Angle Pairs, m<1, then the expression is,
(4x + 16)° = (2x + 34)° = 52° where, x = 9°
⇒ As shown in Graph,
⇒ (4x + 16)° is congruent to (2x + 34)°
⇒ Because they are vertical angles.
The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down.
These are vertical angles.
So,
We can write,
(4x + 16)° = (2x + 34)°
Calculate the equation,
(4x - 2x)° = (34 - 16)°
We can use sum or difference,
(2x)° = (18)°
We can divide the values,
(x)° = (18/2)°
x° = 9°
Hence,
x° = 9°
We can substitute x = 9° value in (4x + 16)° and (2x + 34)° expression,
So,
We can use,
= (4x + 16)°
= (4*9 + 16)°
= (36 + 16)°
= 52°
Therefore,
(4x + 16)° = 52°
We can use,
= (2x + 34)°
= (2*9 + 34)°
= (18 + 34)°
= 52°
Therefore,
(2x + 34)° = 52°
Hence,
Special Angle Pairs, m<1, then the expression is,
(4x + 16)° = (2x + 34)° = 52° where, x = 9°
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The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.
9 ≤ x ≤ 18
18 ≤ x ≤ 33
36 ≤ x ≤ 42
45 ≤ x ≤ 60
The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
How to write and solve a compound inequality to show the possible lengths of the third side?The given parameters are
Range = 45 to 60 inches
Sides = 9, 18 and x
The sum of the three sides is
Sum = 9 + 18 + x
Evaluate
Sum = 27 + x
Recall that
Range = 47 to 60 inches
So, we have
45 ≤ 27 + x ≤ 60
Subtract through by 27
So, we have
18 ≤ x ≤ 33
Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
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Find the ratio created when BA is partitioned by C.
Write your answer as a ratio with a colon and no spaces. Example 10:3
The ratio of the point C on the line segment is 2 : 3
How to determine the ratio of the point C on the line segment?The line segment that completes the question is added as an attachment
On the attached line segment, we have the following points assuming that the point A is at A = 0
So, we have
A = 0
C = 2
B = 5
The above means that
AB : CB = C - A : B - C
So, we have
AB : CB = 2 - 0 : 5 - 2
Evaluate the difference
AB : CB = 2 : 3
Hence, the ratio of the point C on the line segment is 2 : 3
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The circumference of a circle is 188.4 ft. What is the area?
*explain in words*
Answer:
A≈2824.57ft²
Step-by-step explanation:
Area=πr2
Circumference=2r
A=C²=188.42≈2824.56734ft²
4π 4·π
Which of the following shows examples of things that convert light energy to electrical energy? (5 points)
•Fan and wind turbine
•Light bulb and blender
•Airplane and human body
•Solar panels and solar cells.
The electrical device which shows an example of the conversion of light energy into electrical energy is: D. solar panels and solar cells.
What is a PV panel system?A PV panel system is an abbreviation for photovoltaic (PV) panel system and it is also referred to as a photovoltaic module, solar cell panel, or solar electric panel.
In Electrical engineering, the photovoltaic (PV) panel system are typically designed and developed to convert the light energy received from the Sun into electrical energy, which can be used specific electrical devices and home appliances.
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[GIVING BRAINLY] How is the answer D? If it's not D, can someone show an explanation
Answer:
D is the correct answer
Step-by-step explanation:
457 billion is
457,000,000,000
The decimal is at the end of the number. I want to put the decimal so that the number is one or larger, but less than 10
2.47 x [tex]10^{11}[/tex] If you count how many places I need to move the decimal from between the 2 and the 4 to where is should go in standard form. We need to move the decimal 11 places to the right. That is why the exponent is 11.
what percent of 55 is 11 ?
Answer:
20% try this I think this is the answer
0.003 as a percentage.
Answer:
.3 %
Step-by-step explanation:
.003 x 100% = .3 percent
According to the following table, what is the federal income tax due for Mr. and Mrs. Jones filing their federal income tax return jointly who make a combined $92,400 in taxable income?
Based on the fact that Mr. and Mrs. Jones are filling their federal tax return jointly, their federal income tax due is $11,737
How to find the federal income tax?There was no table included so I will use the federal income tax rates for those filing in April 2022.
For a married couple filing jointly like Mr. and Mrs. Jones with a combined $92,400 taxable income, the federal income tax due is:
= 9,328 + 22% of income over $81,050
= 9,328 + (22% x (92,000 - 81,050))
= 9,328 + (22% x 10,950))
= 9,328 + 2,409
= $11,737
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HELP ME OUT PLEASE!!!!
What measurement is represented on the x-axis and what unit is it measured in?
The measurement that is represented on the x-axis is Time and the unit it is measured in is hours
MeasurementsFrom the question, we are to determine the measurement that is represented on the x-axis
On a cartesian plane, the x -axis is the horizontal line and the y-axis is the vertical line
In the given diagram,
The measurement that is shown on the x-axis (horizontal axis) is Time. It is measured in hours
and
The measurement that is shown on the y-axis (vertical axis) is Distance. the distance is measured in miles
Hence, the measurement that is represented on the x-axis is Time and the unit it is measured in is hours
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What decimal represents 6 multiple 1+3 multiple 1/10 +4 multiple 1/100
The decimal that represents the expression is 6.34
How to determine the decimal?The statement is given as
6 multiple 1+3 multiple 1/10 +4 multiple 1/100
Rewrite properly as
6 x 1 + 3 x 1/10 + 4 x 1/100
Evaluate the products
6 + 3/10 + 4/100
Express as decimals
6 + 0.3 + 0.04
Evaluate the sum
6.34
Hence, the decimal that represents the expression is 6.34
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Solve for x
3x = 4y
The distance in feet that a ball rolls down an incline is modeled by s(t) = −2t^2 − 2 , where t is seconds after the ball begins rolling. Find its instantaneous velocity at t = 4 seconds.
Answer:
5
Step-by-step explanation:
because im a genious.
What is the 99th digit of pie?
The approximation of pi to 99 decimal places is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679.
We have,
Determining the 99th digit of pi requires an understanding of the properties of pi and how it is calculated.
Pi is an irrational number, which means it has an infinite number of non-repeating decimal digits.
Since pi has an infinite number of digits, it is not possible to directly state the 99th digit without extensive computation.
However, various methods and algorithms have been developed to approximate the value of pi to a specific number of decimal places.
The 99th digit of pi has not been explicitly determined.
Thus,
The approximation of pi to 99 decimal places is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679.
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What should be added to 52 to get -79?
Answer:
-131
Step-by-step explanation:
52+-131=-79
what is the first of four consecutive numbers if their sum is 2006
762/3=254... therefore, 762-254=508
So your fourth integer is 508
The equation 23+0.15p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $41 to deliver.
The weight of the appliance is 120 pounds.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
23+0.15p=c
where the cost c in dollars that a store charges to deliver an appliance that weighs p pounds.
Now for c= 41
23 + 0.15p= 41
0.15p= 41-23
0.15p= 18
p= 18/0.15
p=120 pounds
Hence, the weight of an appliance is 120 pounds
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add to lowest terms
6 4/5 + 3 7/10
answer:
[tex]10 \frac{1}{2} [/tex]
15 greater than y is at least 150
Last week, Abdul drove 211 miles. This week, he drove d miles. Using d, write an expression for the total number of miles he drove in the two weeks.
The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles
The total number of miles that Abdul drove in two weeks will be the sum of the miles that he drove in week 1 + week 2
If he drove 211 miles one week, plus "d" miles the second week,
Let's call the total number of miles driven in two weeks k.
The sum of both weeks will be the total number of miles Abdul drove in two weeks should be as follows.
Given
no of miles drove in last week is 211 miles.
no of miles drove in current week is d miles.
So the total number of miles drove by Abdul in two weeks are:
Total no of miles drove in two weeks is 211+d miles.
Hence,
The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles
Then we can express the total as k = 211 + b.
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Is 5x+3y=0 linear or nonlinear
Answer:
3.33333
Step-by-step explanation:
It is a Linear